i am pretty sure it is -2/25, 14/40, 7
Step-by-step explanation:
Answer:
Saving=£450
Spent=£200
Step-by-step explanation:
Ratio of saving to spending is 9:4
She inherits £650
So to determine her saving
It will be
9+4=13
Since her saving is 9
So, 9/13 × 650
5850/13
=450
So her saving is£450
To determine what she spent
4/13 × 650
2600/13
200
Saving=£450
Spent=£200
Answer:
5040
Step-by-step explanation:
The given series is :
24 + 48 + 72 + 96 +...+ 480
The first term, a= 24
Common difference, d = 24
The last term, ![a_n=480](https://tex.z-dn.net/?f=a_n%3D480)
Let there are n terms in the AP.
So,
![a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20](https://tex.z-dn.net/?f=a_n%3Da%2B%28n-1%29d%5C%5C%5C%5C480%3D24%2B%28n-1%2924%5C%5C%5C%5C480%3D24%2B24n-24%5C%5C%5C%5Cn%3D20)
There are 20 terms in the series. The sum of 20 terms is :
![S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040](https://tex.z-dn.net/?f=S_%7B20%7D%3D%5Cdfrac%7Bn%7D%7B2%7D%282a%2B%28n-1%29d%29%29%5C%5C%5C%5C%3D%5Cdfrac%7B20%7D%7B2%7D%5Ctimes%20%282%2824%29%2B19%2824%29%29%5C%5C%5C%5C%3D5040)
So, the sum of the given arithmetic series is equal to 5040.
The answer is 54/385, or 0.14025974025974.
Hope this helps!